Diophantine equations via cluster transformations
Number Theory
2017-09-11 v1 Representation Theory
Abstract
Motivated by Fomin and Zelevinsky's theory of cluster algebras we introduce a variant of the Markov equation; we show that all natural solutions of the equation arise from an initial solution by cluster transformations.
Cite
@article{arxiv.1602.01011,
title = {Diophantine equations via cluster transformations},
author = {Philipp Lampe},
journal= {arXiv preprint arXiv:1602.01011},
year = {2017}
}
Comments
11 pages, 7 figures